A projectile is shot from the ground at an angle of #pi/6 # and a speed of #2 m/s#. When the projectile is at its maximum height, what will its distance, factoring in height and horizontal distance, from the starting point be?
We're asked to find the distance a projectile is from its starting point when it reaches its maximum height, given its initial velocity.
When the projectile is at its maximum height, its instantaneous
to find the time
First, let's find the components of the initial velocity, for reference:
Plugging in our known values into the equation (
Plugging in known values, we have
The distance from the starting point is thus